An Adaptive Finite Element/Finite Difference Domain Decomposition Method for Applications in Microwave Imaging
Journal article, 2022

A new domain decomposition method for Maxwell’s equations in conductive media is presented. Using this method, reconstruction algorithms are developed for the determination of the dielectric permittivity function using time-dependent scattered data of an electric field. All reconstruction algorithms are based on an optimization approach to find the stationary point of the Lagrangian. Adaptive reconstruction algorithms and space-mesh refinement indicators are also presented. Our computational tests show the qualitative reconstruction of the dielectric permittivity function using an anatomically realistic breast phantom.

finite difference method

conductive media

adaptive finite element method

domain decomposition

coefficient inverse problem

Maxwell’s equations

microwave imaging

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

University of Gothenburg

Eric Lindström

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

University of Gothenburg

Electronics (Switzerland)

20799292 (eISSN)

Vol. 11 9 1359

Subject Categories

Computational Mathematics

Computer Science

Mathematical Analysis

DOI

10.3390/electronics11091359

More information

Latest update

5/5/2022 1